What is the Least Common Multiple of 43152 and 43167?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 43152 and 43167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43152 and 43167, than apply into the LCM equation.

GCF(43152,43167) = 3
LCM(43152,43167) = ( 43152 × 43167) / 3
LCM(43152,43167) = 1862742384 / 3
LCM(43152,43167) = 620914128

Least Common Multiple (LCM) of 43152 and 43167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43152 and 43167. First we will calculate the prime factors of 43152 and 43167.

Prime Factorization of 43152

Prime Factorization of 43167

Now multiplying the highest exponent prime factors to calculate the LCM of 43152 and 43167.

LCM(43152,43167) = 2⁴ × 3¹ × 29¹ × 31¹ × 14389¹
LCM(43152,43167) = 620914128